What is the Least Common Multiple of 69747 and 69760?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 69747 and 69760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69747 and 69760, than apply into the LCM equation.

GCF(69747,69760) = 1
LCM(69747,69760) = ( 69747 × 69760) / 1
LCM(69747,69760) = 4865550720 / 1
LCM(69747,69760) = 4865550720

Least Common Multiple (LCM) of 69747 and 69760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69747 and 69760. First we will calculate the prime factors of 69747 and 69760.

Prime Factorization of 69747

Prime Factorization of 69760

Now multiplying the highest exponent prime factors to calculate the LCM of 69747 and 69760.

LCM(69747,69760) = 3¹ × 67¹ × 347¹ × 2⁷ × 5¹ × 109¹
LCM(69747,69760) = 4865550720